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Definite Integration question

2025 · 4 Apr · Shift 2 · Q42

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 4 Apr · Shift 2 · Q42

Definite Integration question

2025 · 4 Apr · Shift 2 · Q42

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

f(x)+2 f\left(\frac{1}{x}\right)=x^2+5

and

2 g(x)-3 g\left(\frac{1}{2}\right)=x, x\gt 0

. If

\alpha=\int_1^2 f(x) \mathrm{d} x

, and

\beta=\int_1^2 g(x) \mathrm{d} x

, then the value of

9 \alpha+\beta

is :

A
0
B
10
C
1
D
11

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